Forecasting Returns for Retail Demand Planning

ABSTRACT

A system and method are disclosed for returns forecasting for a retail store inventory of one or more supply chain entities. Embodiments include receiving a current state of items in a supply chain network, receiving a sales time series and a returns time series, computing a returns forecast comprising an expected quantity of a particular product to be returned for a future time period using a sales forecast a and a transfer function estimated from the sales time series and the returns time series.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No.15/868,540, filed on Jan. 11, 2018, entitled “Forecasting Returns forRetail Demand Planning,” which claims the benefit under 35 U.S.C. §119(e) to U.S. Provisional Application No. 62/445,609, filed Jan. 12,2017, and entitled “Forecasting Returns for Retail Demand Planning.”U.S. patent application Ser. No. 15/868,540 and U.S. ProvisionalApplication No. 62/445,609 are assigned to the assignee of the presentapplication. The subject matter disclosed in U.S. patent applicationSer. No. 15/868,540 and U.S. Provisional Application No. 62/445,609 ishereby incorporated by reference into the present disclosure as if fullyset forth herein.

TECHNICAL FIELD

The present disclosure relates generally to demand planning andspecifically to forecasting returns for retail demand planning.

BACKGROUND

A significant portion of the items sold by a retailer are returned totheir stores. A typical brick and mortar store can often expect 8-10% ofthe items it sells to be returned, while an online store may see returnsof nearly 40%. Traditionally, retailers approach this problem byprojecting future returns based directly on past returns. However, thisand other approaches usually fail to accurately predict the quantity andtiming of future returned items, which is undesirable.

BRIEF DESCRIPTION OF THE DRAWINGS

A more complete understanding of the present invention may be derived byreferring to the detailed description when considered in connection withthe following illustrative figures. In the figures, like referencenumbers refer to like elements or acts throughout the figures.

FIG. 1 illustrates an exemplary supply chain network according to afirst embodiment;

FIG. 2 illustrates the demand planner of FIG. 1 in greater detail inaccordance with the first embodiment;

FIG. 3 illustrates a method of returns forecasting, according to anembodiment;

FIG. 4 illustrates a block diagram representing estimating the returnstransfer function using a normalized Least Mean Square (nLMS) filter andapplying it to a sales forecast to generate a returns forecast;

FIG. 5 illustrates the refinement of the estimation of actual marketresponse by the returns transfer function;

FIG. 6 illustrates a chart comprising the sales and returns for twosales seasons, according to an embodiment; and

FIG. 7 illustrates a chart of four exemplary shopper segments, segmentedaccording to the number of successive sizes per order.

DETAILED DESCRIPTION

Aspects and applications of the invention presented herein are describedbelow in the drawings and detailed description of the invention. Unlessspecifically noted, it is intended that the words and phrases in thespecification and the claims be given their plain, ordinary, andaccustomed meaning to those of ordinary skill in the applicable arts.

In the following description, and for the purposes of explanation,numerous specific details are set forth in order to provide a thoroughunderstanding of the various aspects of the invention. It will beunderstood, however, by those skilled in the relevant arts, that thepresent invention may be practiced without these specific details. Inother instances, known structures and devices are shown or discussedmore generally in order to avoid obscuring the invention. In many cases,a description of the operation is sufficient to enable one to implementthe various forms of the invention, particularly when the operation isto be implemented in software. It should be noted that there are manydifferent and alternative configurations, devices and technologies towhich the disclosed inventions may be applied. The full scope of theinventions is not limited to the examples that are described below.

Retailers often cannot accurately predict the timing or quantity ofreturned items using a forecast based solely on past returns. However,accurately forecasting returns is key for retailers to assess the amountof labor needed to process returned items and align fulfillments withprojected inventory. Aspects of the current disclosure comprise a systemand method to forecast an amount and a timing of returned items based,at least in part, on historical sales, historical returns, and a salesforecast by modeling and computing a transfer function. According toembodiments, a retail manager leverages existing sales forecastcapability to predict future returns from an adaptive estimation of atransfer function that models returns from sales. As described in moredetail below, aspects of the current disclosure include handlingseasonal and non-seasonal returned items at the demand forecasting unit(DFU) level, predicting labor and fulfillment requirements, generatingforecasts based on product aggregation and customer segmentation, andadapting to changing return dynamics and patterns. These embodimentsallow supply chain planners to better forecast the amount and timing ofreturned items, which allow supply chain planners to adjust inventory tomatch customer demand (such as, for example, by reselling the returneditems) and adjust on-site labor (who may inspect, repackage, and repricereturned items). The savings to the retailer include: transporting lessgoods, reduced inventory costs, using less packaging, eliminatingextensive reverse logistics, and more accurately forecasting laborrequirements.

As discussed below, embodiments of the current disclosure comprise atransfer function which is estimated using a normalized Least MeanSquared (nLMS) algorithm. Additionally, aspects of the disclosedembodiments include adaptively updating the transfer function withcurrent sales and returns data to refine the returns forecast andreflect changes in the retail market, such as, for example, new salespolicies, defective products, and the like.

FIG. 1 illustrates an exemplary supply chain network 100 according to afirst embodiment. Supply chain network 100 comprises demand planner 110,one or more imagers 120, transportation 130, one or more supply chainentities 140, computer 150, network 160, and communication links170-178. Although a single demand planner 110, a single imager 120, asingle transportation network 130, one or more supply chain entities140, a single computer 150, and a single network 160, are shown anddescribed, embodiments contemplate any number of demand planners,imagers, transportation systems, supply chain entities, computers, ornetworks, according to particular needs. In addition, or as analternative, although demand planner 110 is shown and described asseparate from one or more supply chain entities 140, embodimentscontemplate demand planner 110 being integral with one or more supplychain entities 140.

In one embodiment, demand planner 110 comprises retail manager 111 andinventory manager 112. Retail manager 111 comprises server 113 anddatabase 114. As described in more detail below, retail manager 111receives sales and returns transaction data, models a transfer function,and generates a returns forecast for one or more products in supplychain network 100. Inventory manager 112 comprises server 115 anddatabase 116. As described in more detail below, inventory manager 112is configured to receive and transmit item identifiers, pricing data,attribute data, inventory levels, and other like data about one or moreitems at one or more locations in the supply chain network 100.

According to embodiments, one or more imagers 120 comprise one or moreprocessors 132, memory 134, one or more sensors 136, and may include anysuitable input device, output device, fixed or removablecomputer-readable storage media, or the like. Additionally, one or moreimagers 120 may receive imaging information from one or more sensors 136or from one or more databases, in supply chain network 100. According toembodiments, one or more imagers 120 identify items near one or moresensors 136 and generate a mapping of the item in supply chain network100. As explained in more detail below, transportation network 130 andinventory manager 112 use the mapping of an item to locate the item insupply chain network 100. The location of the item is then used tocoordinate the storage and transportation of items in supply chainnetwork 100.

One or more imagers 120 may comprise a mobile handheld device such as,for example, a smartphone, a tablet computer, a wireless device, or thelike. In addition, or as an alternative, one or more imagers 120comprise one or more networked imagers, such as a point-of-sale system(POS) configured to transmit item identity information to one or moredatabases as an item passes by or is scanned by sensor 136 of one ormore imagers 120. This may include, for example, a stationary scannerlocated at one or more supply chain entities 140 that identifies itemsas the items pass near the scanner or a mobile scanner located at one ormore supply chain entities 140 that identifies items as the mobilescanner passes by one or more items, such as, for example, a mobilerobotic scanner which scans items on store shelves or products in awarehouse. One or more sensors 136 of one or more imagers 120 maycomprise an imaging sensor, such as, a camera, scanner, electronic eye,photodiode, charged coupled device (CCD), or other like sensor thatvisually detects objects. In addition, or as an alternative, one or moresensors 136 may comprise a radio receiver and/or transmitter configuredto read an electronic tag, such as, for example, a radio-frequencyidentification (RFID) tag. Each of the one or more items may berepresented in supply chain network 100 by an identifier, including, forexample, Stock-Keeping Unit (SKU), Universal Product Code (UPC), serialnumber, barcode, tag, RFID, or any other object that encodes identifyinginformation. One or more imagers 120 may generate a mapping of one ormore items in the supply chain network 100 by scanning an identifier orobject associated with an item using sensor 136 and identifying the itembased, at least in part, on the scan.

Transportation network 130 comprises server 142 and database 144.According to embodiments, transportation network 130 directs one or moretransportation vehicles 146 to ship one or more items between one ormore supply chain entities 140, based, at least in part, on a returnsforecast determined by the one or more demand planners 110, mappings ofone or more items in the supply chain networks, characteristics of oneor more customer segments, and/or one or more other factors describedherein. Transportation vehicles 136 comprise, for example, any number oftrucks, cars, vans, boats, airplanes, unmanned aerial vehicles (UAVs),cranes, robotic machinery, or the like. Transportation vehicles 136 maycomprise radio, satellite, or other communication that communicateslocation information (such as, for example, geographic coordinates,distance from a location, global positioning satellite (GPS)information, or the like) with demand planner 110, one or more imagers120, transportation network 130, and/or one or more supply chainentities 140 to identify the location of the transportation vehicle 136and the location of any inventory or shipment located on thetransportation vehicle 136. In addition to the supply chain models, thenumber of items shipped by transportation vehicles 136 in transportationnetwork 130 may also be based, at least in part, on the number of itemscurrently in stock at one or more supply chain entities 140, the numberof items currently in transit in the transportation network 130, aforecasted demand, a supply chain disruption, a returns forecast, andthe like.

As shown in FIG. 1, supply chain network 100 operates on one or morecomputers 150 that are integral to or separate from the hardware and/orsoftware that support demand planner 110, one or more imagers 120,transportation network 130, and one or more supply chain entities 140.Supply chain network 100 comprising demand planner 110, one or moreimagers 120, transportation network 130, and one or more supply chainentities 140 may operate on one or more computers that are integral toor separate from the hardware and/or software that support demandplanner 110, one or more imagers 120, transportation network 130, andone or more supply chain entities 140. Computers 150 may include anysuitable input device 162, such as a keypad, mouse, touch screen,microphone, or other device to input information. Output device 164 mayconvey information associated with the operation of supply chain network100, including digital or analog data, visual information, or audioinformation. Computer 160 may include fixed or removablecomputer-readable storage media, including a non-transitory computerreadable medium, magnetic computer disks, flash drives, CD-ROM,in-memory device or other suitable media to receive output from andprovide input to supply chain network 100.

Computer 160 may include one or more processors 166 and associatedmemory to execute instructions and manipulate information according tothe operation of supply chain network 100 and any of the methodsdescribed herein. One or more processors 166 may execute an operatingsystem program stored in memory to control the overall operation ofcomputer 160. For example, one or more processors 166 control thereception and transmission of signals within the system. One or moreprocessors 166 execute other processes and programs resident in memory,such as, for example, registration, identification, or communication andmoves data into or out of the memory, as required by an executingprocess. In addition, or as an alternative, embodiments contemplateexecuting the instructions on computer 160 that cause computer 160 toperform functions of the method. Further examples may also includearticles of manufacture including tangible computer-readable media thathave computer-readable instructions encoded thereon, and theinstructions may comprise instructions to perform functions of themethods described herein. According to some embodiments, the functionsand methods described in connection with one or more imagers 120 may beemulated by one or more modules configured to perform the functions andmethods as described.

In addition, and as discussed herein, supply chain network 100 maycomprise a cloud-based computing system having processing and storagedevices at one or more locations, local to, or remote from demandplanner 110, one or more imagers 120, transportation network 130, andone or more supply chain entities 140. In addition, each of the one ormore computers 150 may be a work station, personal computer (PC),network computer, notebook computer, tablet, personal digital assistant(PDA), cell phone, telephone, smartphone, wireless data port, POS,augmented or virtual reality headset, or any other suitable computingdevice. In an embodiment, one or more users may be associated with thedemand planner 110, one or more imagers 120, transportation network 130,and one or more supply chain entities 140.

In an embodiment, one or more users may be associated with demandplanner 110, retail manager 111, and/or inventory manager 112. These oneor more users may include, for example, a “manager” or a “planner”handling sales forecasting, returns forecasting, inventory management,and/or one or more related tasks within the system. In addition, or asan alternative, these one or more users within the system may include,for example, one or more computers 150 programmed to autonomouslyhandle, among other things, sales forecasting, returns forecasting,inventory management, order fulfillment, controlling manufacturingequipment, adjusting various levels of manufacturing and inventorylevels at various stocking points and distribution centers, and/or oneor more related tasks within supply chain network 100.

One or more supply chain entities 140 represent one or more supply chainnetworks, including one or more enterprises, such as, for examplenetworks of one or more suppliers 142, manufacturers 144, distributioncenters 146, retailers 148 (including brick and mortar and onlinestores), customers, and/or the like. Suppliers 142 may be any suitableentity that offers to sell or otherwise provides one or more items(i.e., materials, components, or products) to one or more manufacturers144. Items may comprise, for example, parts or supplies used to generateproducts. According to some embodiments, items comprise foods oringredients. Suppliers 142 may comprise automated distribution systems143 that automatically transport products to one or more manufacturers144 based, at least in part, on a returns forecast determined by the oneor more demand planners 110, mappings of one or more items in the supplychain networks, characteristics of one or more customer segments, and/orone or more other factors described herein.

Manufacturers 144 may be any suitable entity that manufactures at leastone product. Manufacturers 144 may use one or more items during themanufacturing process to produce any manufactured, fabricated,assembled, or otherwise processed item, material, component, good, orproduct. In one embodiment, a product represents an item ready to besupplied to, for example, one or more supply chain entities 140 insupply chain network 100, such as retailers 148, an item that needsfurther processing, or any other item. Manufacturers 144 may, forexample, produce and sell a product to suppliers 142, othermanufacturers 144, distribution centers 146, retailers 148, a customer,or any other suitable person or entity. Manufacturers 144 may compriseautomated robotic production machinery 145 that produce products based,at least in part, on a returns forecast determined by the one or moredemand planners 110, mappings of one or more items in the supply chainnetworks, characteristics of one or more customer segments, and/or oneor more other factors described herein.

Distribution centers 146 may be any suitable entity that offers to storeor otherwise distribute at least one product to one or more retailers148 and/or customers. Distribution centers 146 may, for example, receivea product from a first one or more supply chain entities 140 in supplychain network 100 and store and transport the product for a second oneor more supply chain entities 140. Distribution centers 146 may compriseautomated warehousing systems 147 that automatically remove productsfrom and place products into inventory based, at least in part, on areturns forecast determined by the one or more demand planners 110,mappings of one or more items in the supply chain networks,characteristics of one or more customer segments, and/or one or moreother factors described herein.

Retailers 148 may be any suitable entity that obtains one or moreproducts to sell to one or more customers. Retailers 148 may (like theother one or more supply chain entities 140), comprise a corporatestructure having a retail headquarters and one or more retail stores.Retail headquarters comprises a central planning office with oversightof one or more retail stores. Retail stores may comprise any online orbrick-and-mortar store, including stores with shelving systems 149. Theone or more retail stores of retailer 148 may sell products according torules, strategies, orders, and/or guidelines developed by one or moreretail headquarters. For example, retail headquarters may createplanograms and instruction sets that determine how the store will shelveor display one or more products. Although planogram execution may beperformed by a retail employee, embodiments contemplate automatedconfiguration of shelving and retail displays. This may include, forexample, automated robotic shelving machinery that places products onshelves or automated shelving that automatically adjusts based, at leastin part, on a returns forecast determined by the one or more demandplanners 110, mappings of one or more items in the supply chainnetworks, characteristics of one or more customer segments, and/or oneor more other factors described herein. Shelving systems 149 maycomprise, for example, various racks, fixtures, brackets, notches,grooves, slots, or other attachment devices for fixing shelves invarious configurations.

According to embodiments, one or more supply chain entities 140 comprisea reverse logistics pathway to receive and process returned items fromone or more customers. According to embodiments, items may be returnedto the one or more supply chain entities 140 by one or more customers orany of the one or more supply chain entities 140 based on, for example,a customer return, a defective product, a recalled product, incorrectshipment or size, and the like. In response to the one or more supplychain entities 140 receiving the returned item, transportation vehicles136 may transport the one or more items from a first of the one or moresupply chain entity 140, such as, for example, retailer 148 to a secondof the one or more supply chain entity 140, such as, for example,supplier 142, manufacturer 144, distribution center 146, or anotherretailer 148, including for sale on a secondary market by a third partyretailer. As described in more detail below, one or more imagers 120 orPOS systems 202-204 (FIG. 2) may track the location, identity, and othertransaction data of the one or more returned items to generate mappingof the item location in supply chain network 100.

Although one or more supply chain entities 140 are shown and describedas separate and distinct entities, the same entity may simultaneouslyact as more than one of the one or more supply chain entities 140. Forexample, one or more supply chain entities 140 acting as a manufacturercan produce a product, and the same one or more supply chain entities140 can act as a supplier to supply an item to itself or another one ormore supply chain entities 140 or receive a return of an item to itselfor another one or more supply chain entities 140. Although one exampleof a supply chain network 100 is shown and described, embodimentscontemplate any configuration of supply chain network 100, withoutdeparting from the scope described herein.

In one embodiment, demand planner 110 may be coupled with network 160using communications link 170, which may be any wireline, wireless, orother link suitable to support data communications between demandplanner 110 and network 160 during operation of supply chain network100. One or more imagers 120 are coupled with network 160 usingcommunications link 172, which may be any wireline, wireless, or otherlink suitable to support data communications between one or more imagers120 and network 160 during operation of distributed supply chain network100. Transportation network 130 may be coupled with network 160 usingcommunications link 174, which may be any wireline, wireless, or otherlink suitable to support data communications between transportationnetwork 130 and network 160 during operation of supply chain network100. One or more supply chain entities 140 may be coupled with network160 using communications link 176, which may be any wireline, wireless,or other link suitable to support data communications between one ormore supply chain entities 140 and network 160 during operation ofsupply chain network 100. Computer 150 may be coupled with network 160using communications link 178, which may be any wireline, wireless, orother link suitable to support data communications between computer 160and network 160 during operation of supply chain network 100.

Although communication links 170-178 are shown as generally coupling oneor demand planner 110, one or more imagers 120, transportation network130, one or more supply chain entities 140, and computer 150 to network160, any of demand planner 110, one or more imagers 120, transportationnetwork 130, one or more supply chain entities 140, and computer 150 maycommunicate directly with each other, according to particular needs.

In another embodiment, network 160 includes the Internet and anyappropriate local area networks (LANs), metropolitan area networks(MANs), or wide area networks (WANs) coupling demand planner 110, one ormore imagers 120, transportation network 130, one or more supply chainentities 140, and computer 150. For example, data may be maintainedlocally to, or externally of demand planner 110, one or more imagers120, transportation network 130, one or more supply chain entities 140,and computer 150 and made available to one or more associated users ofdemand planner 110, one or more imagers 120, transportation network 130,one or more supply chain entities 140, and computer 150 using network160 or in any other appropriate manner. For example, data may bemaintained in a cloud database at one or more locations external todemand planner 110, one or more imagers 120, transportation network 130,one or more supply chain entities 140, and computer 150 and madeavailable to one or more associated users of demand planner 110, one ormore imagers 120, transportation network 130, one or more supply chainentities 140, and computer 150 using the cloud or in any otherappropriate manner. Those skilled in the art will recognize that thecomplete structure and operation of network 160 and other componentswithin supply chain network 100 are not depicted or described.Embodiments may be employed in conjunction with known communicationsnetworks and other components.

In accordance with the principles of embodiments described herein,demand planner 110 may forecast the quantity and timing of returneditems (returns forecast) at retailer 148 or another supply chain entity140 in supply chain network 100. Furthermore, demand planner 110 mayinstruct automated machinery (i.e., robotic warehouse systems, roboticinventory managers, automated guided vehicles, mobile racking units,automated robotic production machinery, robotic devices and the like) toadjust product mix ratios, inventory levels at various stocking points,production of products of manufacturing equipment, proportional oralternative sourcing of one or more supply chain entities 140, and theconfiguration and quantity of packaging and shipping of items based onone or more generated returns forecasts, current inventory, and/orproduction levels.

For example, the methods described herein may include computers 150receiving product data from automated machinery having at least onesensor 126 and the product data corresponding to an item detected by oneor more imagers 120 of the automated machinery. The received productdata may include an image of the item, an identifier, as describedabove, and/or attributes associated with the item (dimensions, texture,estimated weight, and any other like data). The method may furtherinclude computers 150 automatically looking up received product data ina database system associated with demand planner 110, one or moreimagers 120, and/or transportation network 130 to identify the itemcorresponding to the product data received from the automated machinery.

The computers may also receive, from the automated machinery, a currentlocation of the identified item. Based on the identification of theitem, computers 150 may also identify (or alternatively generate) afirst mapping in the database system, where the first mapping isassociated with the current location of the item. Computers 150 may alsoidentify a second mapping in the database system, where the secondmapping is associated with a past location of the identified item.Computers 150 may also compare the first mapping and the second mappingto determine if the current location of the identified item in the firstmapping is different than the past location of the identified item inthe second mapping. Computers 150 may then send instructions to theautomated machinery based, as least in part, on one or more differencesbetween the first mapping and the second mapping such as, for example,to locate an item to add to or remove from a shelf or inventory of oneor more supply chain entities 140 or a shipment to or from one or moresupply chain entities 140.

In accordance with the principles of embodiments described herein,retail manager 111 of demand planner 110 estimates and/or computes asales forecast, a returns forecast, and a transfer function, placesorders for the one or more products, determines if the one or moreproducts should be a purchased by a particular retailer, segmentscustomers based on buying or returns habits, and the like. In addition,or as an alternative, retail manager 111 monitors the sales, inventory,and returns of the one or more products over a given period of time, andadjusts the inventory of retailer 148 and/or one or more supply chainentities 140 based, at least in part, on returns, inventory, and retailconstraints.

Based, at least in part, on the forecasted sales and returns, retailmanager 111 then causes one or more supply chain entities 140 toproduce, supply, hold, and/or limit supply to an amount of items equalto the calculated future sales of the items minus any on-hand inventoryand any resealable returned items at one or more retailers 148. Althoughretail manager 111 is described as computing a returns forecast for oneor more items, retail manager 111 may also compute the returns forecastfor or one or more collection of items or grouping of one or more items,according to particular needs.

FIG. 2 illustrates demand planner 110 of FIG. 1 in greater detail inaccordance with the first embodiment. According to embodiments, demandplanner 110 comprises one or more computers 150 at one or more locationsincluding associated input devices 152, output devices 154,non-transitory computer-readable storage media, processors 156, memory,or other components for receiving, processing, storing, andcommunicating information according to the operation of supply chainnetwork 100. According to embodiments, demand planner 110 comprisesretail manager 111, inventory manager 112, internal POS terminal 202,external POS terminal 204, and communication links 210-216. Although asingle retail manager 111, a single inventory manager 112, a singleinternal POS terminal 202, and a single external POS terminal 204 areshown and described, embodiments contemplate any number of retailmanagers, inventory managers, internal POS terminals, and external POSterminals, according to particular needs. In addition, or as analternative, although communication links 210-216 are shown as generallycoupling retail manager 111, inventory manager 112, internal POSterminal 202, and external POS terminal 204, retail manager 111,inventory manager 112, internal POS terminal 202 and external POSterminal 204 may communicate directly with each other, according toparticular needs.

In one embodiment, retail manager 111 comprises server 113 and database114. According to embodiments, retail manager 120 computes a returnsforecast of one or more products at one or more retailers 148. Based, atleast in part, on the generated returns forecast, retail manager 111determines a new price of one or more products, places orders for theone or more products, and adjusts inventory of the one or more productsat retailer 148 and/or one or more supply chain entities 140. Accordingto embodiments, retail manager 111 solves the returns forecast fasterthan conventional systems and generates an accurate estimation of thereturns forecast relying on three elements: a historical sales timeseries, a historical returns time series, and a sales forecast.

Sever 113 of retail manager 111 comprises modeler 220, POS interfacemodule 222, and returns planner 224. Although the server is shown anddescribed as comprising a single modeler 220, a single POS interfacemodule 222, and a single returns planner 224, embodiments contemplateany suitable number or combination of these, according to particularneeds. Additionally, modeler 220, POS interface module 222, and returnsplanner 224 may be located at one or more locations, local to, or remotefrom, retailer 148 such as on one or more servers or computers, at anylocation in supply chain network 100.

Modeler 220 of server 113 generates one or more mathematical modelsrelating historical sales, historical returns, and/or a sales forecast,to calculate a returns forecast by determining a transfer function andassociated weights, as described in more detail below. Modeler 220supplies one or more mathematical models that models returns at thestore-product level (i.e. Demand Forecasting Unit or DFU). According tosome embodiments, the DFU comprises a combination of product, location,time, and/or customer. Additionally, modeler 220 may store one or moremodels and associated weights and calculations as modeling data 232 indatabase 114. POS interface module 222 of server 113 receivestransaction data, such as, for example, pricing, sales, and returnsdata, from POS terminals 202-204 and stores the data as sales andreturns data 230 in database 114. According to embodiments, POSinterface module 222 may generate a sales time series and a returns timeseries from the transaction data.

Database 114 of retail manager 111 comprises sales and returns data 230and modeling data 232. Although, database 114 is shown and described ascomprising sales and returns data 230 and modeling data 232, embodimentscontemplate any suitable number or combination of these, located at oneor more locations local to, or remote from, retailer 148, such as on oneor more databases or computers at any location in supply chain network100.

Sales and returns data 230 of database 114 comprises pricing, sales, andreturns data of products for one or more retailers 148 generated by POSterminals 202-204. According to an embodiment, pricing, sales, andreturns data is formatted and stored as sales time series and returnstime series at specified time intervals, such as, for example, an hour,a day, a week, a month, or any suitable time period, as described inmore detail below. Additionally, sales and returns data 230 may comprisethe current retail price of one or more products, which may be differentfor each store operated by retailer 148, including stores at variousgeographical locations. Modeling data 232 of database 114 may comprisemathematical models of the transfer functions generated by modeler 220and, additionally, any constraints, weights, computations, orassumptions used in the model.

In one embodiment, inventory manager 112 comprises server 115 anddatabase 116. Server 115 of inventory manager 112 comprises inventorymanagement module 240. According to embodiments, inventory managementmodule 240 is configured to receive and transmit inventory data 250,including item identifiers, pricing data, attribute data, inventorylevels, and other like data about one or more items at one or morelocations in the supply chain network 100. Additionally, inventorymanagement module 240 may store and retrieve inventory data 250 fromdatabase 116 or from one or more locations in supply chain network 100.Although server 115 is shown and described as comprising a singleinventory management module 240, embodiments contemplate any suitablenumber or combination of modules, according to particular needs.Furthermore, inventory management module 240 may be located at one ormore locations, local to, or remote from, retailer 148 such as on one ormore servers or computers and at any location in supply chain network100.

Database 116 of inventory manager 112 comprises inventory data 250.Although, database 116 is shown and described as comprising inventorydata 250, embodiments contemplate any suitable number or combination ofdata storage arrangements, located at one or more locations, local to,or remote from, retailer 148, such as on multiple databases or computersand at any location in supply chain network 100.

According to embodiments, inventory data 250 comprises inventoryinformation for products at retailer 148, including one or more ofproduct A, one or more of product B, through one or more of product N.In addition, product A comprises one or more items including a firstitem, a second item, through an nth item. Likewise, product B comprisesone or more items including a first item, a second item, through an nthitem and product N comprises one or more items including a first item, asecond item, through an nth item. Each of product A, product B, throughproduct N may be sold by retailer 148 using, for example, POS terminals202-204, an online storefront, or the like. In addition, each of productA, product B, through product N may be supplied by one or more supplychain entities 140 in response to a request from retailer 148. Accordingto an embodiment, inventory data 250 comprises the price, amount, sales,physical location, and other information related to the inventory ofeach of product A, product B, through product N, according to particularneeds.

According to embodiments, inventory data 250 includes current orprojected inventory quantities or states, order rules, or explanatoryvariables. For example, inventory data 250 may comprise the currentlevel of inventory for each item at one or more stocking points acrossthe supply chain network 100. In addition, inventory database 116 maycomprise order rules that describe one or more rules or limits onsetting an inventory policy, including, but not limited to, a minimumorder quantity, a maximum order quantity, a discount, and a step-sizeorder quantity, and batch quantity rules. According to some embodiments,inventory database 116 may comprise explanatory variables that describethe data relating to specific past, current, or future indicators andthe data of promotions, seasonality, special events (such as sportingevents), weather, and the like. According to some embodiments, demandplanner 110 accesses and stores inventory data 250 in inventory database116, which may be used by demand planner 110 to place orders, setinventory levels at one or more stocking points, initiate manufacturingof one or more items, or the like. In addition, or as an alternative,inventory data 250 of inventory database 116 may be updated by receivingcurrent item quantities, mappings, or locations from inventory manager112, one or more imagers 120, transportation network 130, and/or one ormore supply chain entities 140.

POS terminals 202-204 may comprise any device or combination of devicesthat receives, generates and/or records information regarding the saleor return of one or more items from retailer 148 and/or one or moresupply chain entities 140. According to one embodiment, internal POSterminal 202 comprises one or more POS terminals located inside of aretailer 148 store, such as a self-scanning kiosk or a cashier-runterminal, which records a sale or return of one or more items at aretailer 148 store. In another embodiment, external POS terminal 204comprises one or more POS terminals or systems located at one or morelocations, local to, or remote from, retailer 148 and records the saleor return of one or more items of retailer 148, including online sales.In addition, as POS terminals 202-204 monitors the sale or return ofeach item, POS terminals 202-204 records the transaction data of eachitem, including, for example, the product, price, the number of items,the customer, the time, and/or other data, as described herein.

Based on the transaction information received by POS terminals 202-204,retail manager 111 forecasts the quantity of a returned item by modelinga transfer function which relates the quantity of returned items basedon the quantity of sales of the item. As described below, embodimentscontemplate generating a transfer function from sales and returns data230 of past shopping seasons, adapting the transfer function to the mostrecent shopping season, or continuously adapting the transfer function(week-by-week) based on current sales and returns.

FIG. 3 illustrates method 300 of returns forecasting, according to anembodiment. Method 300 proceeds by one or more activities, whichalthough described in a particular order may be performed in one or morepermutations, according to particular needs. At activity 302, POSterminals 202-204 record the transaction data associated with the salesand returns of items at one or more stores of retailer 148. According tosome embodiments, transaction data may be recorded automatically byimaging a product or scanning an identifier during sales and returnstransactions and recording information associated with the transaction,including, for example, identity of the purchaser or returner, method ofpayment, quantity of items in the transaction, identity of items boughtor returned together, attributes of purchased or returned items, timingof the purchase or return, promotions used for purchase or return,location of purchase or return, transaction price, and the like.Although sales and returns are described as recorded by POS terminals202-204, embodiments contemplate recording sales and returns transactioninformation using any suitable device, including, for example, recordingsales and returns transactions using input device 152 on one or moredatabases local to, or remote from, retail manager 111 or inventorymanager 112.

At activity 304, retail manager 111 prepares historical sales andreturns time series. According to embodiments, preparing historicalsales and returns time series comprises processing sales and returnstransaction information, retrieving external data associated with thehistorical sales and returns transaction information, aggregating orsegmenting sales and returns data, transforming the sales and returnsdata to a sales time series and a returns time series, and/or otherassociated tasks. According to some embodiments, retail manager 111receives tabulated sales and returns at predetermined periods and storesthe tabulated sales and returns as a sales time series and returns timeseries in sales and returns data 230 in database 114. According toembodiments, a sales time series comprises a sequence of the quantity ofunit sold or sales of a particular item over multiple time periods at aspecific location, and a returns time series comprises a sequence of thequantity of returns of a particular item over multiple time periods at aspecific location. Although the examples below are given using a weeklytime period, embodiments contemplate a time period comprising any unitof time suitable for quantifying sales and returns, including, forexample, quantifying sales and returns hourly, daily, weekly, bi-weekly,monthly, yearly, and the like.

According to some embodiments, forecasting returns for a particular itemat a particular store (the DFU level) comprises a slow-mover problem.Slow movers, which may refer to slow-moving products, items, orinventory, are characterized by demand with low to moderate lumpinessand high intermittence, where lumpiness refers to the unpredictabilityof the quantity of demand, and intermittence refers to the time betweennon-zero demands. According to embodiments, slow movers may also referto the low to moderate lumpiness and high intermittence of returneditems. Lumpiness describes the unpredictability of the value of items ina time series. For example, when an observed value is much like one ormore previously observed values, the lumpiness is low. When thelumpiness is high, the value of items in the time series variesconsiderably and/or is unpredictable. Intermittence describes how oftena non-zero value is observed. For example, when no time or a short timeexists between non-zero values in a time series, the intermittence islow. When the intermittence is high, a long time of zero values willexist between non-zero values.

As described above, slow moving inventory is characterized by sales orreturns with low to moderate lumpiness and high intermittence. Inparticular, a representative time series of slow moving inventory maycomprise non-negative integer observations that include a large fractionof zero observations characterized by long runs of zeros interspersed bynon-zero values. For example, one or more stores of retailer 148 mayreceive less than thirty returned items in a week (such as, for example,ten items, five items, less than five items, and the like). Often,however, one or more stores of retailer 148 receive no returned items ina week. According to one embodiment, a slow-moving item comprises anitem with less than one sale or return per week. Although examples of aslow-moving item are described, a returns forecast may be generated bythe transfer function for fast-moving, medium-moving, and slow-movingitems.

The quantity of returns for a given period in a returns time series maybe expressed as a function of the quantity of sales of N+1 periods of asales time series, according to Equation 1:

r _(n) =f(q _(n) ,q _(n−1) ,q _(n−2) ,q _(n−3) , . . . ,q _(n−N))  (1)

where, r_(n) is the quantity of a particular item returned on the n^(th)period at a specific location, and q_(n), q_(n−1), q_(n−2), q_(n−3), . .. , q_(n−N) are sales quantities for N+1 periods of the sales timeseries from the sales quantity on the n^(th) period (q_(n)) up to, andincluding, the sales quantity on N periods before the n^(th) period(q_(n−N)). Accordingly, retail manager 111 may estimate the quantity ofreturns for the n^(th) period of the returns time series as the sum ofweighted sales quantities of N+1 periods of the sales time series,according to Equation 2:

$\begin{matrix}{r_{n} = {\sum\limits_{k = 0}^{N}{w_{k} \cdot q_{n - k}}}} & (2)\end{matrix}$

where, r_(n) is the quantity of a particular item returned on the n^(th)period, q_(n−k) is the sales quantity of the item on k periods beforethe n^(th) period, and w_(k) is the weight associated with the salesquantity of the item on k periods before the n^(th) period. UsingEquation 2, returns are computed as the sum of weighted sales quantitiesfor N previous time periods from q_(n) up to, and including, q_(n−k),and where the weight w_(k) is the probability (which may be representedas a percentage) for k periods before the n^(th) period that the returntakes from the sales quantity (when the weight is positive) or that thereturn gives to the sales quantity (when the weight is negative). Forexample, if a weight comprises a large positive value and corresponds toa time period of three weeks (i.e. k=3), then retailer 148 wouldestimate the number of returns will increase in three weeks' time. Onthe other hand, a weight with a negative value indicates that returnsare less likely to occur during the week corresponding with the negativeweight.

At activity 306, retail manager 111 computes the weights and filterlength N+1 of returns transfer function, which estimates the quantityand timing of returns of an item based on sales. Retail manager 111 maycompute the N+1 weights of the transfer function using an adaptiveestimation with a normalized least mean square method (nLMS) (theoptimal learning rate is not subject to the level of sales), afterinitializing the N+1 filter coefficients with the historical transferfunction (h_(e)). As new returns data is received, the N adaptive filtercoefficients ({right arrow over (w)}_(n)) are updated with thevectorized recursive form:

$\begin{matrix}{{\overset{harpoonup}{w}}_{n + 1} = {{\overset{harpoonup}{w}}_{n} + {\frac{1}{q^{T} \cdot q} \cdot e_{n} \cdot {\overset{harpoonup}{q}}_{n}}}} & (3)\end{matrix}$

This recursive equation provides the weight as a vector {right arrowover (w)}_(n+1) for the time step n+1 from the previous weight {rightarrow over (w)}_(n) on time step n. The weight is adjusted based on theerror e_(n) between actual and estimated returns on time step n and thesales quantity history vector {right arrow over (q)}_(n). The vectordimension of {right arrow over (w)}_(n), {right arrow over (w)}_(n+1),and {right arrow over (q)}_(n), is based on the filter length N+1 of thetransfer function, as expressed in Equation 2, above. Additionally,although embodiments describe updating the transfer function,embodiments contemplate generating a transfer function from a pastseason of sales and predicting returns for an upcoming season withoutupdating the transfer function.

To compute the filter length of the transfer function, retail manager111 determines the longest meaningful duration between the time an itemis returned and the time it was bought by estimating the returns usingat least two filter lengths, measuring the mean square error (MSE)between the estimated returns and the actual returns for each of thefilter lengths, and selecting the filter length with the lowest MSE.According to one embodiment, returns planner 224 determines the returnsperiod by estimating returns for each filter length from, for example,five weeks to thirty-two weeks (i.e. N=[5, 6, 7, . . . 30, 31, 32] for aweekly time step), measuring the MSE for each of these filter lengths,and selecting the filter length with the lowest MSE. Althoughdetermining the returns period is described as considering each filterlength from five to thirty-two weeks for a weekly time step, embodimentscontemplate using any suitable number or combination of filter lengthswith any suitable length of time step to determine the best filter thattransforms sales into returns, according to particular needs.

At activity 308, retail manager 111 computes a sales forecast. Accordingto embodiments, method 300 is agnostic to the process of computing thesales forecast, which may be performed by any suitable process thatgenerates a sales forecast for the item including, for example, aHolt-Winters or a probabilistic forecast. According to embodiments thetransfer function can be applied to a probabilistic forecast of demandto generate a probabilistic forecast of returns, which may be a linearcombination of the probabilistic forecast of demand.

At activity 310, retail manager 111 computes a returns forecast.According to embodiments, after retail manager 111 computes the salesforecast and determines the transfer function, retail manager 111computes the returns forecast by applying the transfer function to thesales forecast. As described in more detail below, forecasting returnsmay be based on a cycle of sales, and forecast for an entire shopperpopulation or only a segment of these shoppers.

At activity 312, based, at least in part, on the forecasted sales andreturns, retail manager then causes one or more supply chain entities toproduce, supply, hold, and/or limit supply to an amount of items equalto the calculated future sales of the items minus any on-hand inventoryand any resealable returned items at one or more retailers.

FIG. 4 illustrates a block diagram 400 representing estimating thereturns transfer function using a nLMS filter and applying it to a salesforecast to generate a returns forecast. According to embodiments, thereturns transfer function is estimated from two inputs: actual salesq_(n) 402 and actual returns r_(n) 404. The actual market response h 406is an unknown function that is estimated by returns planner 224.Although actual market response 406 usually cannot be known beforehand,returns planner 224 approximates the actual market response 406 withreturns transfer function h_(e), represented by adaptive filter 408 fromhistorical sales and returns data. Returns transfer function comprisesweights w, which are computed by returns planner 224. According toembodiments, returns planner 224 computes weights by minimizing theerror e_(n) 410 between the estimated returns {tilde over (r)}_(n) 412and the actual returns r_(n) 404 using a normalized least mean squaremethod.

Returns planner 224 uses demand forecast 414 and historical sales 402 upto time step n to calculate sales forecast {tilde over (q)}_(n+h) 416 upto time step n+h or h periods further in the future. Once the returnstransfer function and sales forecast 416 are known, returns planner 224uses the returns transfer function to compute returns forecast {tildeover (r)}_(n+h) 420 from the N+1 prior sales forecast 416 (representedby box 418).

As each new time step for actual sales and actual returns are received,returns planner 224 may update returns transfer function be moreaccurate by refining the value of the weights of the returns transferfunction. With each time step that is processed, the weights become morerefined to more accurately predict returns forecast 420 from salesforecast 416, based on error 410, where the larger the value of error410, the larger the adjustment to the new weight of the returns transferfunction.

For example, as new sales and returns are processed by a POS terminal202-204 and tabulated by POS interface 222, returns planner 224 computeserror 410 between what the returns transfer function predicted for thattime step and the actual level that was measured by the market. Then,based on error 410 that is computed, returns planner 224 derives theweights of the returns transfer function. As the value of error 410increases, the weights will change more quickly. As the value of error410 starts to temper, the weights begin converging and will change lessand less for each time step.

FIG. 5 illustrates the refinement of the estimation of actual marketresponse 406 by the returns transfer function. Top plot 500 illustratesactual returns 502 and estimated returns 504 for an increasing number ofweeks (each week representing one time step). As illustrated, estimatedreturns 504 more accurately estimates actual returns 502 with anincreasing number of forecasts. This is corroborated by bottom plot 510,which illustrates the error 512 between actual returns 502 and estimatedreturns 504 decreases with an increasing number of weekly forecasts.

As discussed above, the number of weights in the returns transferfunction varies based, at least in part, on the filter length or thenumber of previous sales times steps used to estimate returns. Forexample, where the length of a time step corresponds to one week andfive weeks of past sales are used to estimate the number of weeklyreturns, then the returns transfer function will comprise five weights.Continuing with this example, to estimate returns for week 2 of thecalendar year (i.e. the second week of January), returns planner 222 mayuse the weighted sales of the five previous weeks, such as, for example,5% week 1+5% week 52 (prior calendar year)+30% week 51 (prior calendaryear)+50% week 50 (prior calendar year)+10% week 49 (prior calendaryear). Although a particular example is given, returns may be estimatedbased on the combination of a percentage of sales from any current orprior time period.

According to embodiments, the pattern of returns may be relative to thepattern of sales, and aligned to the sales calendar year and seasonalsales based on the pattern of sales. For example, regardless of thecalendar period, the returns comprise the same linear combination of thepast few weeks. For seasonal sales, such as, for example, Christmassales, returns may be estimated from the sales of prior weeks asillustrated by the previous example.

Notably, the length of time between the sale and return of an item mayvary greatly based on several factors, including, a return policy, theparticular industry, the particular store, and the like. For example,returns planner 224 may adjust the transfer model based, at least inpart, on the return policy of retailer 148—although retailers 148 withmore permissive returns policies are often more likely to receive ahigher quantity of returns, some retailers 148 with more permissivereturns policies have less returns (and higher sales) because a morepermissive returns policy may lead to greater customer satisfaction.

According to some embodiments, returns planner 224 determines thereturns period by estimating the returns using at least two filterlengths, measuring the mean square error (MSE) between the estimatedreturns and the actual returns for each of the filter lengths, andselecting the filter length with the lowest MSE. According toembodiments, returns planner 224 determines the length of the filter byestimating returns for different filter lengths from five weeks tothirty-two weeks, measuring the MSE for each of these filter lengths,and selecting the filter length with the lowest MSE. Althoughdetermination of the best filter length is described as considering eachfilter length from five to thirty-two weeks, embodiments contemplateusing any number or combination of filter lengths. According toembodiments, the filter length is estimated each time the transferfunction is estimated. For example, returns planner 224 estimates theweight for a filter of length 5 and stores its MSE for the length of theseason or a predefined number of weeks. Returns planner 224 may thenestimate the weight for a filter of length 6 and store its MSE. Aftereach filter length is estimated and the resulting MSE is stored, returnsplanner 224 compares the MSE and selects the filter length with thelowest MSE. Once, this filter length is defined, returns planner 224 mayfurther adapt the filter coefficients or lock them in.

Additionally, for seasonal items, such as, for example, items that arenot sold for a one or more sales periods during a year, it is criticalto start the estimation of this filter on the time when the season hasits first sales and to end it after the last season returns. Accordingto embodiments, the first sales are determined as the week with thefirst sales in the year, and the last season return is determined as theweek with the last non-zero return, which is after the last seasonsales. For non-seasonal items, a fixed filter length, such as, forexample, 10 weeks, may be used.

As mentioned above, although method 300 describes updating the returnstransfer function, embodiments contemplate generating a transferfunction from a past season of sales and then predicting returns for anupcoming season without updating the transfer function.

FIG. 6 illustrates chart 600 comprising the sales and returns for twoseasons, according to an embodiment. Chart 600 comprises actual salestime series 602 and actual returns time series 604. Actual sales timeseries 602 comprises the recorded sales of an item in units over thecourse of many weeks. Actual returns time series 604 comprises therecorded returns of an item in units over the course of the same timeperiod.

Actual sales time series 602 and actual returns time series 604 comprisefirst season 610 and second season 612. First season 610 comprises afirst set of peaks representing an increase in sales and returns duringa first year, and second season 612 comprises a second set of peaksrepresenting an increase in sales and returns during a second year. Ascan be seen, the pattern of sales and returns for the exemplary item issimilar for first season 610 and second season 612, including theapproximate ratio between sales and returns and the timing between thesale of an item and the return of the item, indicated by the earlierrise of sales compared to the corresponding delayed rise of returns.According to some embodiments, first season 610 comprises a trainingsequence, and second season 612 comprises a test period. For example,retail manager 111 may compute a transfer function based on the salesand returns of the first season 610 and use the transfer function toestimate a returns forecast for the second season 612. According to thisexample, retail manager 111 estimates a single transfer function basedon sales and returns of first season 610. The single transfer functionis used to forecast returns for second season 612. However, according tosome embodiments, the weights of the transfer function may be updatedperiodically as new sales and returns data is received (such as weekly,daily, monthly, or any other time period).

As discussed above, retail manager 111 may according to some embodimentsgenerate a returns forecast based on sales and returns data 230 that issorted at the DFU level. The method works item-by-item, and looks at, onaggregate, all the sales and returns that are coming into a particularstore for a particular item. However, embodiments contemplateaggregating or segmenting sales and returns data according to items,stores, customers, time, and the like. For example, retail manager 111may modify the level of hierarchy or the number of segments to aggregateor segment sales and returns data to generate more accurate returnsforecast.

According to embodiments, returns planner 224 aggregates products tocalculate a more accurate returns forecast. Although forecasting forsales and returns is described at the DFU level or SKU-store level,embodiments contemplate aggregating sales or returns forecasting to anylevel of aggregation for any hierarchy of products, customers, time, orgeographies. According to embodiments, when the quantity of sales and/orreturns for an item are too low, returns planner 224 aggregates thesales and/or returns of various items to create more accurate returnsforecasts. To generate a forecast at a more aggregated level, retailmanager 111 may combine sales and returns data 230 for products fromdifferent stores, longer time periods, and aggregation levels of aproduct hierarchy.

Returns planner 224 may aggregate products based, at least in part, on aproduct hierarchy. Each item sold by retailer 148 comprises variousattributes that describe properties of the item. A product hierarchycomprises various levels of product aggregation based on productattributes of the one or more items sold by retailer 148. For theexemplary clothing item, the attributes may comprise, for example, size,color, article, family, style, collection, market, brand, and the like.For example, a particular shirt may be sold by a clothing retailer invarious colors (red, blue, green, or the like) or sizes (small, medium,large, or the like). Food sold by a grocery retailer may be available indifferent flavors (such as varieties of pasta sauce) or different sizes(such as two liter bottles of soda or sixteen ounce bottles of soda).Although attributes are described in connection with clothing items andfood items, embodiments contemplate any appropriate attributes todescribe any retail item, according to particular needs.

To further illustrate product aggregation according to an embodiment, anexample is now given. A product, such as a shirt, represented by asingle SKU may be sold at a particular store of retailer 148. The mostgranular view of sales and returns of this shirt is represented by theSKU-store level. However, when sales of a product are too low togenerate an accurate sales or returns forecast, retail manager 111 mayaggregate products to improve the sales or returns forecast. Accordingto an embodiments, retail manager 111 may aggregate beginning at lowerlevels of the hierarchy and moving up, such as, for example, aggregatingaccording to colors and sizes first, before aggregating at higher levelsof aggregation, such as market and brands. Additionally, retail manager111 may aggregate products by using the sales and returns data for thesame product from other stores, such as, for example, other stores inthe same city that use the same pricing model or same marketingstrategy.

In addition to aggregation, retail manager may improve sales and returnsforecasts using customer segmentation. By segmenting customers, returnsforecasts may more accurately predict actual future returns byidentifying repeatable shopper behavior that influences a shopper'slikelihood to return an item. For example, by using transactional salesand returns data, shoppers may be identified and sorted into segmentsbased on their purchase and/or returns behavior. Customers return itemsfor a variety of reasons including, for example, poorly fittingclothing, defective items, unexpected qualities, dissatisfaction, andthe like. Additionally, online sales often experience a greater numberof returns than brick-and-mortar stores because customers typicallycannot sample items prior to purchase. Therefore, customers of onlineretailers may buy an item in a variety of flavors, styles, or sizes, tryeach of them, and return the ones that are unsuitable. For example,shoppers who order multiple shoe sizes to ensure a perfect fit may beidentified and segmented according to their return behavior. Becauseeach customer segment may exhibit a different behavior in returningitems, aspects of the current disclosure generate a transfer functionthat chooses several past sales based on a customer segment, andpredicts the timing and quantity of returned items based on theforecasted sales and transfer function associated with that particularcustomer segment. In addition, segmentation may not be limited to justcustomers, but may include brick-and-mortar versus online stores, thecategory, type, or attributes of products, locations of sales andreturns, the identity of the store associated with the forecast, and thelike.

FIG. 7 illustrates chart 700 of four exemplary shopper segments,segmented according to the number of successive sizes per order. Chart700 comprises four customer segments: Segment A 902, comprisingcustomers who purchased items in only one size, Segment B 904,comprising customers who purchased items in two successive sizes,Segment C 906, comprising customers who purchased items in threesuccessive sizes, and Segment D 908, comprising customers who purchaseditems in four successive sizes. As discussed above, some customers willorder various sizes of a product with the intention of returning one ormore of the sizes because the customer is unsure of the fit of theproduct or is unsure about which of a variety of colors or styles thecustomer would like to keep. By segmenting these shoppers, returnsmanager 224 may compute more accurate returns forecasts, as described inmethod 300, because customers in the same segment are likely to exhibitsimilar behavior for returning items based on the customer's tendency topurchase multiple successive sizes. By generating a returns forecast forvarious segments, returns manager 224 may generate a more granular andaccurate forecast of returns for each of the segments. Although thisexample segments customers by ordering of successive sizes, embodimentscontemplate segmenting customers by any suitable customer characteristicor attributes of purchased products, including, for example, customerbehaviors, ordering more than one item that is different in only a fewattributes (e.g. ordering the same article of clothing in differentcolors, textures, sizes, or the like), and the like. According toembodiments, the segmentation of customers leads to better predictionsof the quantity and timing of returns.

According to some embodiments, returns planner 224 may consider theidentity of the purchaser when generating a returns forecast, becausesome customers have a much higher propensity to return items than othercustomers. Although this may be dealt with in some respect with customersegmentation, embodiments contemplate identifying customers with ahigher rate of returns to more accurately predict item returns.

According to some embodiments, returns planner 224 discriminates returnsby segmentation, such as good quality returns that can be sold as it,returns that needs minor changes to be sold, returns that needs to go toa third market, and returns that need to be discarded. According toother embodiments, returns may be distributed in any suitable manner,such as resold, recycled, redistributed, refurbished, repackaged, or anyother like distribution.

According to embodiments, retailer 148 may determine whether returns areresealable, either before or after the product is returned. For example,a grocery retailer may classify items as food and non-food items withoutevaluating each returned item individually. The grocery retailer mayimplement a blanket policy that all food items may need to be discardedwhen they are returned, and non-food items may be resold—either by thesame grocery retailer or sent to another distributor or retail location.On the other hand, a clothing retailer may need to have a process toevaluate returned items after they are returned to a retail location sothat their resalability can be determined. For example, the clothingretailer may need to inspect the item for damage, determine if the itemis still “in-season,” or other determinations. The clothing retailer maythen determine if the item should be resold at the same store (whetherat the original price or a discount), be sent to another retail location(such as a discount retailer), be recycled, discarded, or any othersuitable distribution.

Reference in the foregoing specification to “one embodiment”, “anembodiment”, or “some embodiments” means that a particular feature,structure, or characteristic described in connection with the embodimentis included in at least one embodiment of the invention. The appearancesof the phrase “in one embodiment” in various places in the specificationare not necessarily all referring to the same embodiment.

While the exemplary embodiments have been shown and described, it willbe understood that various changes and modifications to the foregoingembodiments may become apparent to those skilled in the art withoutdeparting from the spirit and scope of the present invention.

What is claimed is:
 1. A computer-implemented method for returnsforecasting for a retail store inventory of one or more supply chainentities, comprising: receiving, by a computer, a sales time seriescomprising a sequence of sales quantities of a particular product and areturns time series comprising a sequence of returns quantities of theparticular product; and computing, by the computer, a returns forecastcomprising an expected quantity of the particular product to be returnedfor a future time period, the returns forecast computed using a salesforecast and a transfer function, the transfer function estimated fromthe sales time series and the returns time series and comprising one ormore weights, each of the one or more weights associated with a timeperiod and comprising a probability that the particular product will bereturned during the associated time period.
 2. The computer-implementedmethod of claim 1, further comprising: recording, by a point of salesystem, one or more transactions of one or more items of the particularproduct by scanning an identifier associated with each of the one ormore items and identifying the particular product based, at least inpart, on the scan; tabulating, by the computer, the one or moretransactions of the one or more items of the particular product; andgenerating, by the computer, the sales time series and the returns timeseries based, at least in part, on the tabulated one or moretransactions.
 3. The computer-implemented method of claim 1, wherein theone or more transactions comprise one or more of a sales transaction anda returns transaction.
 4. The computer-implemented method of claim 1,wherein the computer computes the weights of the transfer function byminimizing the error between an estimated returns quantity and an actualreturns quantity using a normalized least mean square method.
 5. Thecomputer-implemented method of claim 4, further comprising: updating, bythe computer, the weights of the transfer function by computing an errorbetween a quantity of items of the particular product predicted by thetransfer function for a time step and the actual quantity of itemsreturned.
 6. The computer-implemented method of claim 5, wherein thereturns forecast comprises an expected quantity of returned items from acustomer segment, the customer segment identified based, at least inpart, on a customer behavior the influences the likelihood of a customerin the customer segment to return an item at a particular location. 7.The computer-implemented method of claim 6, wherein the returns timeseries comprises an aggregation of a quantity of returned items from asecond product.
 8. A system of returns forecasting for a retail storeinventory of one or more supply chain entities, comprising: a computer,comprising a processor and a memory, and configured to: receive a salestime series comprising a sequence of sales quantities of a particularproduct and a returns time series comprising a sequence of returnsquantities of the particular product; and compute a returns forecastcomprising an expected quantity of the particular product to be returnedfor a future time period, the returns forecast computed using a salesforecast and a transfer function, the transfer function estimated fromthe sales time series and the returns time series and comprising one ormore weights, each of the one or more weights associated with a timeperiod and comprising a probability that the particular product will bereturned during the associated time period.
 9. The system of claim 8,further comprising: a point of sale system, wherein the point of salesystem records one or more transactions of one or more items of theparticular product by scanning an identifier associated with each of theone or more items and identifying the particular product based, at leastin part, on the scan.
 10. The system of claim 9, wherein the computer isfurther configured to: tabulate the one or more transactions of the oneor more items of the particular product; and generate the sales timeseries and the returns time series based, at least in part, on thetabulated one or more transactions.
 11. The system of claim 8, whereinthe one or more transactions comprise one or more of a sales transactionand a returns transaction.
 12. The system of claim 8, wherein thecomputer computes the weights of the transfer function by minimizing theerror between an estimated returns quantity and an actual returnsquantity using a normalized least mean square method.
 13. The system ofclaim 12, wherein the computer is further configured to: update theweights of the transfer function by computing an error between aquantity of items of the particular product predicted by the transferfunction for a time step and the actual quantity of items returned. 14.The system of claim 13, wherein the returns forecast comprises anexpected quantity of returned items from a customer segment, thecustomer segment identified based, at least in part, on a customerbehavior the influences the likelihood of a customer in the customersegment to return an item at a particular location.
 15. A non-transitorycomputer-readable medium embodied with software, the software whenexecuted configured to forecast returns for a retail store inventory ofone or more supply chain entities by: receiving a sales time seriescomprising a sequence of sales quantities of a particular product and areturns time series comprising a sequence of returns quantities of theparticular product; computing a returns forecast comprising an expectedquantity of the particular product to be returned for a future timeperiod, the returns forecast computed using a sales forecast and atransfer function, the transfer function estimated from the sales timeseries and the returns time series and comprising one or more weights,each of the one or more weights associated with a time period andcomprising a probability that the particular product will be returnedduring the associated time period.
 16. The non-transitorycomputer-readable medium of claim 15, wherein the software when executedis further configured to: record one or more transactions of one or moreitems of the particular product by identifying the particular productbased, at least in part, on a scan of an identifier associated with eachof the one or more items.
 17. The non-transitory computer-readablemedium of claim 16, wherein the software when executed is furtherconfigured to: tabulate the one or more transactions of the one or moreitems of the particular product; and generate the sales time series andthe returns time series based, at least in part, on the tabulated one ormore transactions.
 18. The non-transitory computer-readable medium ofclaim 15, wherein the one or more transactions comprise one or more of asales transaction and a returns transaction.
 19. The non-transitorycomputer-readable medium of claim 15, wherein computing the weights ofthe transfer function o minimizing the error between an estimatedreturns quantity and an actual returns quantity using a normalized leastmean square method.
 20. The non-transitory computer-readable medium ofclaim 19, wherein the software is further configured to: update theweights of the transfer function by computing an error between aquantity of items of the particular product predicted by the transferfunction for a time step and the actual quantity of items returned.